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Compressed sensing (CS) exploits the sparsity of a signal in order to integrate acquisition and compression. CS theory enables exact reconstruction of a sparse signal from relatively few linear measurements via a suitable nonlinear…

Information Theory · Computer Science 2014-09-04 Shmuel Friedland , Qun Li , Dan Schonfeld , Edgar A. Bernal

In CS literature, the efforts can be divided into two groups: finding a measurement matrix that preserves the compressed information at the maximum level, and finding a reconstruction algorithm for the compressed information. In the…

Signal Processing · Electrical Eng. & Systems 2021-08-09 Mehmet Yamac , Ugur Akpinar , Erdem Sahin , Serkan Kiranyaz , Moncef Gabbouj

A new framework of compressive sensing (CS), namely statistical compressive sensing (SCS), that aims at efficiently sampling a collection of signals that follow a statistical distribution and achieving accurate reconstruction on average, is…

Computer Vision and Pattern Recognition · Computer Science 2010-10-22 Guoshen Yu , Guillermo Sapiro

Compressed sensing (CS) provides an elegant framework for recovering sparse signals from compressed measurements. For example, CS can exploit the structure of natural images and recover an image from only a few random measurements. CS is…

Machine Learning · Computer Science 2019-05-21 Yan Wu , Mihaela Rosca , Timothy Lillicrap

Compressed sensing (CS) shows that a signal having a sparse or compressible representation can be recovered from a small set of linear measurements. In classical CS theory, the sampling matrix and representation matrix are assumed to be…

Information Theory · Computer Science 2015-07-03 Yipeng Liu

Compressive Sensing (CS) theory shows that a signal can be decoded from many fewer measurements than suggested by the Nyquist sampling theory, when the signal is sparse in some domain. Most of conventional CS recovery approaches, however,…

Computer Vision and Pattern Recognition · Computer Science 2014-04-30 Jian Zhang , Debin Zhao , Feng Jiang , Wen Gao

Compressive sensing is a signal acquisition framework based on the revelation that a small collection of linear projections of a sparse signal contains enough information for stable recovery. In this paper we introduce a new theory for…

Information Theory · Computer Science 2009-01-23 Dror Baron , Marco F. Duarte , Michael B. Wakin , Shriram Sarvotham , Richard G. Baraniuk

A novel framework of compressed sensing, namely statistical compressed sensing (SCS), that aims at efficiently sampling a collection of signals that follow a statistical distribution, and achieving accurate reconstruction on average, is…

Computer Vision and Pattern Recognition · Computer Science 2015-05-27 Guoshen Yu , Guillermo Sapiro

Tensor Compressive Sensing (TCS) is a multidimensional framework of Compressive Sensing (CS), and it is advantageous in terms of reducing the amount of storage, easing hardware implementations and preserving multidimensional structures of…

Machine Learning · Computer Science 2017-06-07 Xin Ding , Wei Chen , Ian J. Wassell

Compressed sensing (CS) is a sampling theory that allows reconstruction of sparse (or compressible) signals from an incomplete number of measurements, using of a sensing mechanism implemented by an appropriate projection matrix. The CS…

Computer Vision and Pattern Recognition · Computer Science 2017-08-29 Duc Minh Nguyen , Evaggelia Tsiligianni , Nikos Deligiannis

Distributed Compressive Sensing (DCS) improves the signal recovery performance of multi signal ensembles by exploiting both intra- and inter-signal correlation and sparsity structure. However, the existing DCS was proposed for a very…

Information Theory · Computer Science 2012-11-29 Jeonghun Park , Seunggye Hwang , Janghoon Yang , Dongku Kim

Deep learning based compressive sensing (CS) methods typically learn sampling operators using convolutional or block wise fully connected layers, which limit receptive fields and scale poorly for high dimensional data. We propose MTSCSNet,…

Image and Video Processing · Electrical Eng. & Systems 2026-02-10 Mehmet Yamac , Lei Xu , Serkan Kiranyaz , Moncef Gabbouj

Compressive sensing (CS) is an emerging sampling technology that enables reconstructing signals from a subset of measurements and even corrupted measurements. Deep learning-based compressive sensing (DCS) has improved CS performance while…

Computer Vision and Pattern Recognition · Computer Science 2019-12-02 Thuong , Nguyen Canh , Chien , Trinh Van

Compressed sensing (CS) is a valuable technique for reconstructing measurements in numerous domains. CS has not yet gained widespread adoption in scanning tunneling microscopy (STM), despite potentially offering the advantages of lower…

Mesoscale and Nanoscale Physics · Physics 2022-02-09 Brian E. Lerner , Anayeli Flores-Garibay , Benjamin J. Lawrie , Petro Maksymovych

Compressed sensing (CS) is an innovative technique allowing to represent signals through a small number of their linear projections. Hence, CS can be thought of as a natural candidate for acquisition of multidimensional signals, as the…

Information Theory · Computer Science 2014-03-06 Giulio Coluccia , Simeon Kamden-Kuiteng , Andrea Abrardo , Mauro Barni , Enrico Magli

Compressive sensing (CS) has been studied and applied in structural health monitoring for wireless data acquisition and transmission, structural modal identification, and spare damage identification. The key issue in CS is finding the…

Signal Processing · Electrical Eng. & Systems 2019-03-25 Yuequan Bao , Zhiyi Tang , Hui Li

Compressive Sensing (CS) is a new technique for the efficient acquisition of signals, images, and other data that have a sparse representation in some basis, frame, or dictionary. By sparse we mean that the N-dimensional basis…

Information Theory · Computer Science 2015-05-18 Chinmay Hegde , Richard G. Baraniuk

Compressive sensing (CS) is a signal processing technique that enables sub-Nyquist sampling and near lossless reconstruction of a sparse signal. The technique is particularly appealing for neural signal processing since it avoids the issues…

Signal Processing · Electrical Eng. & Systems 2021-02-02 Hyunseok Park , Xilin Liu

Compressive Sensing (CS) theory asserts that sparse signal reconstruction is possible from a small number of linear measurements. Although CS enables low-cost linear sampling, it requires non-linear and costly reconstruction. Recent…

Machine Learning · Computer Science 2018-10-16 Aysen Degerli , Sinem Aslan , Mehmet Yamac , Bulent Sankur , Moncef Gabbouj

Compressive sensing (CS) is a promising technology for realizing energy-efficient wireless sensors for long-term health monitoring. In this paper, we propose a data-driven CS framework that learns signal characteristics and individual…

Information Theory · Computer Science 2016-12-20 Kai Xu , Yuhao Wang , Yixing Li , Fengbo Ren
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